Two-scale finite element discretizations for integro- differential equations
Two-scale finite element discretizations for integro- differential equations
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DOI：
10.1216/jie-2011-23-3-351
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发表时间：
2011-09
影响因子：
0.8
通讯作者：
Huajie Chen;Fang Liu;N. Reich;Christoph Winter;Aihui Zhou
中科院分区：
文献类型：
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作者：
Huajie Chen;Fang Liu;N. Reich;Christoph Winter;Aihui Zhou
介绍了一类线性偏微分方程组的两尺度有限元离散方法。研究了边值问题和特征值问题。基于双尺度误差分解技术，提出并分析了几种双尺度有限元算法。结果表明，这种双尺度算法不仅大大减少了自由度数，而且得到了非常精确的近似解。
Some two-scale finite element discretizations are introduced for a class of linear partial differential equations. Both boundary value and eigenvalue problems are studied. Based on the two-scale error resolution techniques, several two-scale finite element algorithms are proposed and analyzed. It is shown that this type of two-scale algorithms not only significantly reduces the number of degrees of freedom but also produces very accurate approximations.